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Finding the Fourth Proportional to 778.36, 1,168.06 and 413.41

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Solution

The fourth proportional to 778.36, 1,168.06 and 413.41 is: 620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.36 : 1,168.06 = 413.41 : x
  2. Step 2: Convert to fraction form
    778.36/1,168.06 = 413.41/x
  3. Step 3: Cross multiply
    778.36x = 1,168.06 × 413.41
  4. Step 4: Simplify right side
    778.36x = 482,887.68
  5. Step 5: Solve for x
    x = 482,887.68/778.36
  6. Step 6: Final answer
    x = 620.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.